Your English writing platform
Discover LudwigSuggestions(1)
Exact(1)
The functions (phi ) realizing the maximum in (4.4) are called Kantorovich potentials for the transport from (mu ) to (nu ) (and will be often denoted by the symbol (varphi ) instead of (phi )).
Similar(58)
The composition is often denoted.
These changes are often denoted in literature as engineering changes.
The system (16) is often denoted by (Phi ) again.
This phenomenon is often denoted as Industrial Internet, Industry 4.0 or Internet of Things.
This operation is called application, and it is often denoted by juxtaposition, that is, by placing its two arguments next to each other as in (MN).
It's often denoted as the percentage of a car's original value it will retain after five years, with an annual mileage of 15,000.
Furthermore, the set of all singular points is called the Jacobi set of f and is often denoted by J f).
A bipartite graph is often denoted by ( mathbb{G}=left(mathbb{U},mathbb{V},mathbb{E}right) ), whose partition has the parts ( mathbb{U} ) and ( mathbb{V} ), with ( mathbb{E} ) denoting the edges of the graph.
The significance is the probability, according to the null hypothesis $h$, of obtaining data that leads us to falsely reject this hypothesis $h$: \[ \text{Significance}_{F} = \alpha = P_{h}(R_{r}) = \sum_{s \in S} F s) P_{h}(s) d s, \] The probability $\alpha$ is alternatively called the type-I error, and it is often denoted as the significance or the p-value.
The subset G ( d ) i is the set of subspaces of dimension i of a k -space of dimension d, it is often denoted by G ( i, d - i ) and called a Grassmannian; both sets G ( d ) 1 and G ( d ) 1 are also denoted by P d - 1 and called the projective space of dimension d - 1 : Open image in new window.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com